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Finding the Fourth Proportional to 76,845.06, 106,046.64 and 42,855.69

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Solution

The fourth proportional to 76,845.06, 106,046.64 and 42,855.69 is: 59,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,845.06 : 106,046.64 = 42,855.69 : x
  2. Step 2: Convert to fraction form
    76,845.06/106,046.64 = 42,855.69/x
  3. Step 3: Cross multiply
    76,845.06x = 106,046.64 × 42,855.69
  4. Step 4: Simplify right side
    76,845.06x = 4,544,701,929.38
  5. Step 5: Solve for x
    x = 4,544,701,929.38/76,845.06
  6. Step 6: Final answer
    x = 59,141.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.